Quadratically nonlinear torsional hyperelastic waves in a transversely isotropic cylinder: Primary analysis of evolution

Nonlinear torsional waves propagating along an infinite transversely isotropic cylinder are considered. The hyperelasticity of the cylinder is described by Guz’s generalization of the Murnaghan potential to quasi-isotropic materials. The evolution of the initial waveprofile in cylinders made of composite materials reinforced with micro-and nanoscale fibers is modeled numerically. It is shown that the transverse isotropy of this class of composites has a weak effect on the wave phenomena accompanying the propagation of a torsional wave. Three-dimensional plots of evolution are presented __________ Translated from Prikladnaya Mekhanika, Vol. 44, No. 5, pp. 32–44, May 2008.